Binary to Decimal

Error

There was an error loading the page.

Contributors

Clodagh Carroll

History

○

Clodagh Carroll 8 years, 5 months ago

Published this.

○

Clodagh Carroll 10 years ago

Created this as a copy of Decimal to Binary 1.

Name	Status	Author	Last Modified
Decimal to Binary 1	draft	Clodagh Carroll	10/10/2016 10:26
Binary to Decimal	draft	Clodagh Carroll	10/10/2016 10:13
Lois's copy of Binary to Decimal	draft	Lois Rollings	20/09/2016 10:57
Binary to Decimal	Ready to use	Julie Crowley	07/10/2016 21:25
Decimal to Binary	Ready to use	Julie Crowley	12/10/2016 09:58
Ioannis's copy of Lois's copy of Binary to Decimal	Needs to be tested	Ioannis Lignos	28/10/2018 20:17
Simon's copy of Binary to Decimal	draft	Simon Thomas	07/03/2019 11:26
Simon's copy of Binary to Decimal	draft	Simon Thomas	07/03/2019 11:16
Simon's copy of Decimal to Binary	draft	Simon Thomas	07/03/2019 12:12
Simon's copy of Decimal to Binary 1	draft	Simon Thomas	07/03/2019 12:14
Binary to Decimal Worksheet	draft	David Copeland	02/05/2019 09:10
Pete's copy of Binary to Decimal Worksheet	draft	Pete Dwyer	03/07/2019 11:24

There are 9 other versions that do you not have access to.

Question statement

Convert the number $\var{b1}\var{b2}\var{b3}\var{b4}\var{b5}\var{b6}\var{b7}\var{b8}$ to decimal.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4338
b1	integer	0
b2	integer	1
b3	integer	0
b4	integer	1
b5	integer	0
b6	integer	0
b7	integer	1
b8	integer	0

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

4338

This variable doesn't seem to be used anywhere.

Advice

The position of each digit indicates a power of 2. Beginning with the power of zero in the rightmost position and increasing by 1 every time you move one digit to the left. A zero in a given position means that that particular power of 2 should not be included. A one in a given position means that that particular power of 2 should be included.

Once each power of 2 that should be included has been noted, add them all together.

For example, to convert the binary number 1010 to decimal, we start with the rightmost digit, 0.

The rightmost digit represents 2 to the power of 0 (i.e., 1). Since the rightmost digit is a 0, we do not include this power of 2. So 1 is not included.

Next, we move to the 2nd digit from the right, 1. This digit represents 2 to the power of 1 (i.e., 2). Since this digit is a 1, we do include this power of 2. So 2 is included.

Next, we move to the 3rd digit from the right, 0. This digit represents 2 to the power of 2 (i.e., 4). Since this digit is a 0, we do not include this power of 2. So 4 is not included.

Finally, we move to the 4th digit from the right, 1. This digit represents 2 to the power of 3 (i.e., 8). Since this digit is a 1, we do include this power of 2. So 8 is included.

Now, since we have gone through all digits in our binary number, we add up all of the powers of 2 that we have identified to be included:

2+8=10.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Lab 4 by Clodagh Carroll in Clodagh's workspace.
MATH6001 Binary by Julie Crowley in MATH6001 Automotive Maths.
math6001 Some revision for Assessment by Julie Crowley in MATH6001 Automotive Maths.
Binary by Deirdre Casey in Deirdre's workspace.
Omar's copy of Binary by Omar Kirikchi in Omar's workspace.
muyan's copy of Binary by muyan shi in muyan's workspace.
zhaozhao's copy of Binary by zhaozhao Fang in zhaozhao's workspace.
cui's copy of Binary by cui zhuen in cui's workspace.
Zhenlei's copy of Binary by Zhenlei Guo in Zhenlei's workspace.
JIAWEI's copy of Binary by JIAWEI RUAN in JIAWEI's workspace.
Du's copy of Binary by Du Dongzhi in Du's workspace.
work 1 by Du Dongzhi in Du's workspace.
Xinger Wang's copy of Binary by Xinger Wang in Xinger's workspace.
Xuanxuan's copy of Binary by Xuanxuan Duan in Xuanxuan's workspace.
Mao's copy of Binary by Mao Runhao in Mao's workspace.
Niemjngzhen's copy of Binary by Niemjngzhen Chen in Niemjngzhen's workspace.
Tesht by Clodagh Carroll in Clodagh's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Clodagh Carroll 8 years, 5 months ago

Clodagh Carroll 10 years ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Number entry

Advanced settings

Loading...

Error

Binary to Decimal

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Clodagh Carroll 8 years, 5 months ago

Clodagh Carroll 10 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`