Question 26Convert the following base of number system:(a) (1010100)10 = (...............)2(b) (3674)8 = (...............)2(c) (266)10 = (...............)8(d) (9F2)16 = (...............)2

Question

Accepted Answer

(a) (1010100)1021010100Remainder25050500 (LSB)225252502126262126313102315651215782127891023945121972129860249302246121230261123012150271231211 01 (MSB)Therefore, (1010100)10 = (11110110100110110100)2.​ (b) (3674)8OctalNumberBinaryEquivalent4100711161103011Therefore, (3674)8 = (011undefined 110undefined 111undefined 100undefined\bold{\underlinesegment{011}}\medspace\bold{\underlinesegment{110}}\medspace\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{100}}011​110​111​100​)2.(c) (266)108266Remainder8332 (LSB)841 04 (MSB)Therefore, (266)10 = (412)8.(c) (9F2)16HexadecimalNumberBinaryEquivalent20010F111191001Therefore, (9F2)16 = (100111110010)2.

2	1010100	Remainder
2	505050	0 (LSB)
2	252525	0
2	126262	1
2	63131	0
2	31565	1
2	15782	1
2	7891	0
2	3945	1
2	1972	1
2	986	0
2	493	0
2	246	1
2	123	0
2	61	1
2	30	1
2	15	0
2	7	1
2	3	1
2	1	1
	0	1 (MSB)

Octal Number	Binary Equivalent
4	100
7	111
6	110
3	011

Hexadecimal Number	Binary Equivalent
2	0010
F	1111
9	1001

Data Representation and Boolean Logic — Question 26

Question 26