Question 3Convert the following decimal numbers to binary:(a) 23

Question

Accepted Answer

2QuotientRemainder2231 (LSB)2111251220211 (MSB) 0 Therefore, (23)10 = (10111)2(b) 1002QuotientRemainder21000 (LSB)250022512120260231211 (MSB) 0 Therefore, (100)10 = (1100100)2(c) 1452QuotientRemainder21451 (LSB)272023602180291240220211 (MSB) 0 Therefore, (145)10 = (10010001)2(d) 0.25Multiply=ResultantCarry0.25 x 2=0.500.5 x 2=01Therefore, (0.25)10 = (0.01)2

2	Quotient	Remainder
2	23	1 (LSB)
2	11	1
2	5	1
2	2	0
2	1	1 (MSB)
	0

2	Quotient	Remainder
2	100	0 (LSB)
2	50	0
2	25	1
2	12	0
2	6	0
2	3	1
2	1	1 (MSB)
	0

2	Quotient	Remainder
2	145	1 (LSB)
2	72	0
2	36	0
2	18	0
2	9	1
2	4	0
2	2	0
2	1	1 (MSB)
	0

Multiply	=	Resultant	Carry
0.25 x 2	=	0.5	0
0.5 x 2	=	0	1

Data Representation — Question 3

Question 3