Table:
0
A
B
C
D
E
F
G
H
1
Type
Sign
Exponent
Significand
Total bits
Exponent bias
Bits precision
Number of decimal digits
2
Half ( IEEE 754-2008 )
1
5
10
16
15
11
~3.3
3
Single
1
8
23
32
127
24
~7.2
4
Double
1
11
52
64
1023
53
~15.9
5
Double extended (80-bit)
1
15
64
80
16383
64
~19.2
6
Quad
1
15
112
128
16383
113
~34.0

Questions and formulas:
Question: What's the number of decimal digits when the total bits is more than 32 and the exponent is less than 15?
Formula: LET(query1,SUMMARIZE(H1,SUMX(E1),SUMX(C1)),FILTER(query1,(CHOOSECOLS(query1,2)>32)*(CHOOSECOLS(query1,3)<15)))
Formula2: LET(query1,SUMMARIZE(H2:H6,SUMX(E2:E6),SUMX(C2:C6)),FILTER(query1,(CHOOSECOLS(query1,2)>32)*(CHOOSECOLS(query1,3)<15)))
Level: hard
Question: What's the total number of signicand with ~34.0 decimal digits and more than 128 total bits?
Formula: SUM(FILTER(D1, (H1="~34.0")*(E1>128)))
Formula2: SUM(FILTER(D2:D6, (H2:H6="~34.0")*(E2:E6>128)))
Level: easy
Question: What's the sum of significand with ~34.0 decimal digits and an exponent bias larger than 16383?
Formula: SUM(FILTER(D1, (H1="~34.0")*(F1>16383)))
Formula2: SUM(FILTER(D2:D6, (H2:H6="~34.0")*(F2:F6>16383)))
Level: easy
Question: What's the sum of sign with an exponent bias less than 1023, ~3.3 decimal digits, and less than 11 bits precision?
Formula: SUM(FILTER(B1, (F1<1023)*(H1="~3.3")*(G1<11)))
Formula2: SUM(FILTER(B2:B6, (F2:F6<1023)*(H2:H6="~3.3")*(G2:G6<11)))
Level: easy
Question: What's the sum of sign with more than 53 bits precision, double extended (80-bit) type, and more than 80 total bits?
Formula: SUM(FILTER(B1, (G1>53)*(A1="double extended (80-bit)")*(E1>80)))
Formula2: SUM(FILTER(B2:B6, (G2:G6>53)*(A2:A6="double extended (80-bit)")*(E2:E6>80)))
Level: easy
Question: What's the lowest bits precision when the total bits are less than 16?
Formula: MIN(FILTER(G1, E1<16))
Formula2: MIN(FILTER(G2:G6, E2:E6<16))
Level: easy