CS 40A MID-TERM TEST HOWARD DACHSLAGER NAME: STUDENT # IMPORTANT: No partial cre
ID: 3606705 • Letter: C
Question
CS 40A MID-TERM TEST HOWARD DACHSLAGER NAME: STUDENT # IMPORTANT: No partial credit given. Assume no typing, logical or syntax errors on my part. You will shortly receive the MS WORD VERSION.Return it typed by Nov. 12. to hdachslager@ivc.edu. 1. The number 432341045 written in expanded form is 2·Simplify 53412356+54442316= 3. Find the one to one correspondence: > 8FAC3916 4. Simplify (105)4-1 Find the one to one correspondence: 5. (105)4 no= 6. Simplify (107)5 . (107)3-2= Find the one to one correspondence: 7. (104)5-1 = n4 = Find the one to one correspondence: => n16-Explanation / Answer
1. 4*78125 + 3*51625 +2*3125 + 3*625 + 4*125 + 1*25 + 4
2. (15225510) base6
3. 43726071
4. (10base5)^4 => 625 in decimal. Therefore, 625-1 = 624 in decimal
624 in base 5 => (4444)base5
5. (10base5)^4 -1 => ((1*5 + 0*1)base10)^4 = 5^4 = 625
6. ((10)base7)^5 - ((10)base7)^3 - 2 => (7^5 - 7^3 - 2) in decimal
=> 16462 in decimal => (65665)base7
7. (10base4)^5 -1 = 4^5 -1 in decimal => 1023 => (33333)base4
8. (45AFbase16)(2Cbase16)= 170*44 in decimal = 7480 => (30544)base7
9. X Y Z
i. 7
ii. 7 -12
iii. 7 -12 13
iv. 7 -12 13
v. 7 -12 13
vi. 2 -12 13
vii. 2 12 13
viii. 2 12 7
ix. 2 12 7
x. 2 12 7
xi. -5 12 7
xii. -5 -56 7
xiii. -5 -56 -7
10. X= 15 Y=12 Z=12
11. W=5 + (W*(W+U/W)+2)/2 = 31 => T = 32
12. Y=163
13. N10 Q N8 R K BASE
i. 2304
ii. 2304 8
iii. 2304 0 8
iv. 2340 0 0 8
v. 2304 0 0 0 8
vi. 2304 288 0 0 0 8
vii. 2304 288 0 0 0 8
viii. 288 288 0 0 0 8
ix. 288 288 0 0 1 8
x. 36 288 0 0 1 8
xi. 4 288 0 0 1 8
xii. 4 288 0 0 1 8
xiii. 288 288 0 0 1 8
xiv. 288 288 0 0 2 8
xv. 288 288 0 0 2 8
xvi. 288 36 0 0 2 8
xvii. 288 36 0 0 2 8
xviii. 36 36 0 0 2 8
xix. 36 36 0 0 3 8
xx. 36 36 0 4 3 8
xxi. 36 4 0 4 3 8
xxii. 36 4 4000 4 3 8
xxiii. 4 4 4000 4 3 8
xxiv. 4 4 4000 4 4 8
14.(a.). To assign the lowest value to Z
15. Programmer wants to find out wheather the number X is even or odd
16. X1 X2 X3 TEMP
i. 7
ii. 7 2
iii. 7 2 10
iv. 7 2 10
v. 7 2 10
vi. 7 2 10 7
vii. 2 2 10 7
viii. 2 7 10 7
ix. 2 7 10 7
x. 2 7 10 7
xi. 2 7 10 7
xii. 2 7 10 7
xiii. 2 10 10 7
xiv. 2 10 7 7
xv. 2 10 7 7