[PSD1] Exercise 1.22

[matypist]

Exercise 1.22 Convert the following two’s complement binary numbers to decimal

(a) $1110_2$
(b) $100011_2$
(c) $01001110_2$
(d) $10110101_2$

[Elia-Belli]

(a) $1110_2 = (-8+4+2) = -2_{10}$
(b) $100011_2 = (-32+2+1) = -29_{10}$
(c) $01001110_2 = (64+2+4+8) = 78_{10}$
(d) $10110101_2 = (-128+32+16+4+1) = -75_{10}$

[niccolo-fato]